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[null,"1.","Record Nr.",null,"UNINA9910812544603321"]
[null,null,"Autore",null,"Khemar Idrisse <1979->"]
[null,null,"Titolo",null,"Elliptic integrable systems : a comprehensive geometric interpretation / / Idrisse Khemar"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 2012"]
[{"$nulls":4},"©2012"]
[null,null,"ISBN",null,"0-8218-9114-6"]
[null,null,"Descrizione fisica",null,"1 online resource (215 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 219, Number 1031"]
[null,null,"Disciplina",null,"516.3/73"]
[null,null,"Soggetti",null,"Geometry, Riemannian"]
[{"$nulls":4},"Hermitian structures"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"September 2012, Volume 219, Number 1031 (fourth of 5 numbers).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"Abstract\"\"; \"\"Introduction\"\"; \"\"0.1. The primitive systems\"\"; \"\"0.2. The determined case\"\"; \"\"0.2.1. The minimal determined system\"\"; \"\"0.2.2. The general structure of the maximal determined case\"\"; \"\"0.2.3. The model system in the even case\"\"; \"\"0.2.4. The model system in the odd case\"\"; \"\"0.2.5. The coupled model system\"\"; \"\"0.2.6. The general maximal determined odd system (k'=2k+1,m=2k)\"\"; \"\"0.2.7. The general maximal determined even system (k'=2k,m=2k-1)\"\"; \"\"0.2.8. The intermediate determined systems\"\"; \"\"0.3. The underdetermined case\"\"; \"\"0.4. In the twistor space\"\""]
[{"$nulls":4},"\"\"0.5. Related subjects and works, and motivations\"\"\"\"0.5.1. Relations with surface theory\"\"; \"\"0.5.2. Relations with mathematical physics\"\"; \"\"0.5.3. Relations of F-stringy harmonicity and supersymmetry\"\"; \"\"Notation, conventions and general definitions\"\"; \"\"0.6. List of notational conventions and organisation of the paper\"\"; \"\"0.7. Almost complex geometry\"\"; \"\"Chapter 1. Invariant connections on reductive homogeneous spaces\"\"; \"\"1.1. Linear isotropy representation\"\"; \"\"1.2. Reductive homogeneous space\"\"; \"\"1.3. The (canonical) invariant connection\"\"; \"\"1.4. Associated covariant derivative\"\""]
[{"$nulls":4},"\"\"1.5. G-invariant linear connections in terms of equivariant bilinear maps\"\"\"\"1.6. A family of connections on the reductive space M\"\"; \"\"1.7. Differentiation in End(T(G/H))\"\"; \"\"Chapter 2. m-th elliptic integrable system associated to a k'-symmetric space\"\"; \"\"2.0.1. Definition of G (even when  does not integrate in G)\"\"; \"\"2.1. Finite order Lie algebra "]
[{"$nulls":4},"automorphisms\"\"; \"\"2.1.1. The even case: k'=2k\"\"; \"\"2.1.2. The odd case: k'=2k+1\"\"; \"\"2.2. Definitions and general properties of the m-th elliptic system\"\"; \"\"2.2.1. Definitions\"\"; \"\"2.2.2. The geometric solution\"\""]
[{"$nulls":4},"\"\"2.2.3. The increasing sequence of spaces of solutions: (S(m))mN\"\"\"\"2.2.4. The decreasing sequence (Syst(m,p))p/k'\"\"; \"\"2.3. The minimal determined case\"\"; \"\"2.3.1. The even minimal determined case: k'=2k and m=k\"\"; \"\"2.3.2. The minimal determined odd case\"\"; \"\"2.4. The maximal determined case\"\"; \"\"Adding holomorphicity conditions;  the intermediate determined systems\"\"; \"\"2.5. The underdetermined case\"\"; \"\"2.6. Examples\"\"; \"\"2.6.1. The trivial case: the 0-th elliptic system associated to a Lie group\"\"; \"\"2.6.2. Even determined case\"\"; \"\"2.6.3. Primitive case\"\""]
[{"$nulls":4},"\"\"2.6.4. Underdetermined case\"\"\"\"2.7. Bibliographical remarks and summary of the results\"\"; \"\"Chapter 3. Finite order isometries and twistor spaces\"\"; \"\"3.1. Isometries of order 2k with no eigenvalues =1\"\"; \"\"3.1.1. The set of connected components in the general case\"\"; \"\"3.1.2. Study of Ad J, for JZ2ka(R2n)\"\"; \"\"3.1.3. Study of Ad Jj\"\"; \"\"3.2. Isometries of order 2k+1 with no eigenvalue =1\"\"; \"\"3.3. The effect of the power maps on the finite order isometries\"\"; \"\"3.4. The twistor spaces of a Riemannian manifolds and its reductions\"\""]
[{"$nulls":4},"\"\"3.5. Return to an order 2k automorphism 2mu-:6muplus1mugg\"\""]